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Finding the Fourth Proportional to 3,547.62, 4,895.03 and 2,288.43

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Solution

The fourth proportional to 3,547.62, 4,895.03 and 2,288.43 is: 3,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.62 : 4,895.03 = 2,288.43 : x
  2. Step 2: Convert to fraction form
    3,547.62/4,895.03 = 2,288.43/x
  3. Step 3: Cross multiply
    3,547.62x = 4,895.03 × 2,288.43
  4. Step 4: Simplify right side
    3,547.62x = 11,201,933.50
  5. Step 5: Solve for x
    x = 11,201,933.50/3,547.62
  6. Step 6: Final answer
    x = 3,157.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.